Copyright © 1982 Published by Elsevier Science Ltd.
Interpolation of arbitrary spaced points by closed surfaces
Received 18 November 1980.
Available online 11 June 2003.
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Abstract
A procedure using spherical coordinates is devised to interploate points in two (resp. three) dimensional spaces by closed smooth curves (resp. surfaces). It can be applied to any of the existing methods for interpolating points. In this article, the Shepard and Maude methods are considered. The interpolation depends upon the choice of a “pole”, therefore, is not unique and, thus, can be controlled at will up to some extent.







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